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Finding the Fourth Proportional to 390,446.40, 585,280.80 and 179,716.80

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Solution

The fourth proportional to 390,446.40, 585,280.80 and 179,716.80 is: 269,396.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,446.40 : 585,280.80 = 179,716.80 : x
  2. Step 2: Convert to fraction form
    390,446.40/585,280.80 = 179,716.80/x
  3. Step 3: Cross multiply
    390,446.40x = 585,280.80 × 179,716.80
  4. Step 4: Simplify right side
    390,446.40x = 105,184,792,477.44
  5. Step 5: Solve for x
    x = 105,184,792,477.44/390,446.40
  6. Step 6: Final answer
    x = 269,396.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.